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Simplifying w2 = 25w Solving w2 = 25w Solving for variable 'w'. Reorder the terms: -25w + w2 = 25w + -25w Combine like terms: 25w + -25w = 0 -25w + w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-25 + w) = 0Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(-25 + w)' equal to zero and attempt to solve: Simplifying -25 + w = 0 Solving -25 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + w = 0 + 25 Combine like terms: -25 + 25 = 0 0 + w = 0 + 25 w = 0 + 25 Combine like terms: 0 + 25 = 25 w = 25 Simplifying w = 25Solution
w = {0, 25}
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